Details

analyze1.0s (4.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	70
1	23	70
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 8 to 8 computations (0% saved)

sample33.0ms (0.1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	51×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))

rewrite19.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_1481`
1×	`sum-log_binary64_1533` `pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `flip3-+_binary64_1445` `*-un-lft-identity_binary64_1442` `flip-+_binary64_1416` `+-commutative_binary64_1372`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

Compiler

Compiled 178 to 42 computations (76.4% saved)

series216.0ms (1%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

210.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

Compiler

Compiled 217 to 235 computations (-8.3% saved)

simplify89.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4831	355
1	4831	355

prune18.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Error

0.0b

Counts

36 → 2

Compiler

Compiled 189 to 51 computations (73% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (cbrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
1.8b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
1.8b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
1.8b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

rewrite178.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_1473`
23×	`add-sqr-sqrt_binary64_1464`
18×	`cbrt-div_binary64_1474`
15×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
11×	`pow1_binary64_1503`
9×	`pow1/3_binary64_1524` `flip3-+_binary64_1445` `flip-+_binary64_1416`
6×	`add-exp-log_binary64_1480` `swap-sqr_binary64_1409` `associate-l_binary64_1383` `associate-r_binary64_1382`
4×	`add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478` `frac-times_binary64_1452` `unswap-sqr_binary64_1410`
2×	`pow-prod-down_binary64_1513` `pow-prod-up_binary64_1512` `pow-sqr_binary64_1415` `associate-l/_binary64_1385` `associate-r/_binary64_1384`
1×	`pow2_binary64_1523` `pow-plus_binary64_1505` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `*-commutative_binary64_1373`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (cbrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
4.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 3219 to 330 computations (89.7% saved)

series2.2s (9.7%)

Error

0.0b

Counts

4 → 96

Calls

4 calls:

565.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (cbrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
494.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
492.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
480.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 9884 to 6030 computations (39% saved)

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5173	4826

prune237.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	180	3	183
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	180	5	185

Error

Counts

185 → 5

Compiler

Compiled 4824 to 997 computations (79.3% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.8b	(pow.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 t z))) 6)
1.8b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
1.8b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 t z)))
23.7b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 t z))) 6))

rewrite132.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`cbrt-prod_binary64_1473`
12×	`add-cube-cbrt_binary64_1477` `unpow-prod-down_binary64_1521` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
5×	`pow1_binary64_1503` `add-exp-log_binary64_1480`
4×	`pow1/3_binary64_1524` `add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478` `cbrt-div_binary64_1474`
3×	`pow-unpow_binary64_1519`
2×	`sqr-pow_binary64_1414` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow-pow_binary64_1514`
1×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510`

Counts

4 → 65

Calls

4 calls:

5.0ms	(pow.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 t z))) 6)
5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 t z))) 6))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 t z)))
3.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 1895 to 497 computations (73.8% saved)

series8.8s (39.2%)

Error

Counts

4 → 104

Calls

4 calls:

7.1s	(pow.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 t z))) 6)
561.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 t z))) 6))
483.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
481.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 t z)))

Compiler

Compiled 9387 to 6786 computations (27.7% saved)

simplify86.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5031	4495

prune190.0ms (0.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	169	5	174

Error

Counts

174 → 5

Compiler

Compiled 3376 to 1150 computations (65.9% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.8b	(cbrt.f64 (-.f64 (.f64 t z) (.f64 x y)))
1.8b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
1.8b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
23.7b	(cbrt.f64 (-.f64 (.f64 (.f64 t z) (.f64 t z)) (.f64 (.f64 x y) (.f64 x y))))

rewrite129.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`cbrt-prod_binary64_1473`
8×	`add-cube-cbrt_binary64_1477` `cbrt-div_binary64_1474` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
4×	`pow1/3_binary64_1524` `pow1_binary64_1503` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
2×	`flip3--_binary64_1446` `flip--_binary64_1417` `flip3-+_binary64_1445` `flip-+_binary64_1416`
1×	`difference-of-squares_binary64_1411`

Counts

4 → 53

Calls

4 calls:

8.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 t z) (.f64 t z)) (.f64 (.f64 x y) (.f64 x y))))
4.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 2944 to 256 computations (91.3% saved)

series2.2s (10%)

Error

Counts

4 → 87

Calls

4 calls:

643.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 t z) (.f64 t z)) (.f64 (.f64 x y) (.f64 x y))))
498.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
486.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
450.0ms	(cbrt.f64 (-.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 12653 to 6443 computations (49.1% saved)

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5101	3645

prune221.0ms (1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	140	5	145

Error

Counts

145 → 5

Compiler

Compiled 5823 to 859 computations (85.2% saved)

regimes5.7s (25.5%)

Accuracy

Total 0.0b remaining (24.1%)

Threshold costs 0.0b (24.1%)

Compiler

Compiled 72574 to 37867 computations (47.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end21.0ms (0.1%)

Remove

(sort z t)

(sort x y)

Compiler

Compiled 35 to 35 computations (0% saved)

sample747.0ms (3.3%)

Algorithm

1×

intervals

Results

222.0ms	8000×	body	128	valid
43.0ms	1358×	body	128	invalid

Compiler

Compiled 165 to 104 computations (37% saved)

Details

analyze1.0s (4.5%)

sample33.0ms (0.1%)

simplify7.0ms (0%)

prune2.0ms (0%)

localize6.0ms (0%)

rewrite19.0ms (0.1%)

series216.0ms (1%)

simplify89.0ms (0.4%)

prune18.0ms (0.1%)

localize11.0ms (0.1%)

rewrite178.0ms (0.8%)

series2.2s (9.7%)

simplify67.0ms (0.3%)

prune237.0ms (1.1%)

localize18.0ms (0.1%)

rewrite132.0ms (0.6%)

series8.8s (39.2%)

simplify86.0ms (0.4%)

prune190.0ms (0.8%)

localize21.0ms (0.1%)

rewrite129.0ms (0.6%)

series2.2s (10%)

simplify62.0ms (0.3%)

prune221.0ms (1%)

regimes5.7s (25.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end21.0ms (0.1%)

sample747.0ms (3.3%)

Profiling